Resposta:
Explicação passo-a-passo:
multplicacao de potencias de mesma base, mantenha a base e some os expoentes
divisao de potencias de mesma base, mantenha a base e subtraia os expoentes
potencia elevado a potencia, multiplique os expoentes
a)5² . 5⁷ . 5⁴
2+7+4=13
[tex]5^{13}[/tex]
b)3¹²/3¹⁷
12-17=-5
[tex]3^{-5}[/tex]
c)(2²)³
[tex]2^{6}[/tex]
d)2² elevado a ³
(2²)³
[tex]2^{6}[/tex]
e)(2³)²
[tex]2^{6}[/tex]
f)2³ elevado a ²
(2³)²
[tex]2^{6}[/tex]
g)3⁵. 3⁷/2 . 2¹¹
5+7=12
1-11=-10
[tex]\frac{3^{12} }{3^{-10} }[/tex]
12-10=2
3²
h)4⁶. 8⁵/16³
6+5=11
16=4²
(4²)³
[tex]4^{6}[/tex]
[tex]\frac{4^{11} }{4^6}[/tex]
11-6=5
[tex]4^{5}[/tex]
i)(3a²)⁵. (9a⁴)². (b³)⁵/ (27a²)³. (b⁵)³
[tex]\frac{15a^{10}*81a^{8}*b^{15} }{81a^{6}*b^{15} } \\\\a=10+8;b=15\\a=6;b=15\\\\\frac{a^{18}*b^{15} }{81a^{6}*b^{15} } \\\\81a=3a^{4}\\\\ (3a^{4})^{6}\\3a^{24} \\\\ \frac{a^{18} *b^{15}}{3a^{24}*b^{15} } \\\\a=18-24=-6\\b=15-15=0\\\\a^{-6}*b^{0}\\b^{0}=1\\\\a^{-6}\\\\j) y^{2}*y^{3} y^{4}\\ 2+3+4=9\\y^{9}[/tex]
